Question

An object starting from rest travels 20 m in first 2secs. and 60 m in next 4 sec.what will be the velocity after 7 sec from start.
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Answer 1

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Answer 2

Question:-

• An object starting from rest travels 20 m in first 2secs. and 60 m in next 4 sec.what will be the velocity after 7 sec from start.

To Find:-

• Find the velocity after 7 seconds.

Solution:-

First ,

We have to find the acceleration:-

$\sf\dashrightarrow \: s = ut + \dfrac { 1 } { 2 } { at }^{ 2 }$

$\sf\dashrightarrow \: 20 = 0 \times 2 + \dfrac { 1 } { \cancel { 2 } } \times a \times \cancel { 2 } \times 2$

$\sf\dashrightarrow \: 20 = 2a$

$\sf\dashrightarrow \: a = \cancel\dfrac { 20 } { 2 }$

$\sf\dashrightarrow \: a = 10 \: { m/s }^{ 2 }$

Now ,

We have to find the velocity at 2 second:-

$\sf\dashrightarrow \: v = u + at$

$\sf\dashrightarrow \: v = 0 + 10( 2 )$

$\sf\dashrightarrow \: v = 20 \: m/s$

Now ,

We have to find the velocity after 7 seconds:-

$\sf\dashrightarrow \: v = u + at$

$\sf\dashrightarrow \: v = 0 + 10( 7 )$

$\sf\dashrightarrow \: v = 70 \: m/s$

Hence ,

• Final Velocity is 70 m/s